10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

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Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

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Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

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Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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    {
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 *  ****      * *     ** *********       **  ****  *  
* ** * * * *****   ***  **  * * *     *** ***** *  ****** **
*  ** * ****  ************ **  *  *  **  *  **       
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 *** **  * *   ***  * * ****   * ** ****   * *** **   *** **   * **** (-b+spD)/(2*a);
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* *****  *  **** *   ***** ***   ***  ** *  *** ** * * **     *   * ***  *     *** 
** ******  *  **  *  *   ** * *  ** ***  ****    ***  *
 * *  **   **  ** * ***   * * **  * **   * ** *** *      if(D==0)
*** **   * **    **  *  * *  **  ********** *   *
 * ****** * **** **** * *  *  ***** ********* * ***** *      **    * ***  * **   **      (-b)/(2*a);
 * *  **** *   * *** *  * * ***  **** *** *** *           *** *  *  **  ** *   *** ***     * 
* * * *  * * ***** ****  *  *** * *    * **   * *  *  *  * *   *   ** *** *  ***  *
  ****  * *** * * *****  *  *   *    *****   **  **     **  * **   **  *** **  * *  * *    of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*    ******** *   *  ** ****** *     ** *****   ** ***      *     ** ** *
 * ** ** ** * ***  ** **  * *  *    ** **         * *  ** ******* ** *  **     ***  * * 
 ****  *** * *    * **  *   * ** * ** **  *** ** **  ****  **   ** **** ** *  *  
*** **  *  ** * **  *  *  * *  *  * **  ***  *****    *** * *** * * ** *  *  *
   ** *** * * * *    * *    * *  ****   ** ***  *    ** * ***  ****** ****  * ***  **     *   * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*   *   * *** *****  * ****  ******  *  ***  **  *****     *   * **    ** ** *   
***   ** *   *      *** *   *******     ***       ***  
**  **   *   * ** ***     * *   *   *  *  *  *   ** **   if(D<0)
* **** * ******     ** * ***  *  **  **  **** **** ** * * *     
** * **    *  * **   * * *****  * *    * *  **   ***** **   ** *   * *  *  *    **  *    (-b)/(2*a);
 ***** **   **** ** ***  **** * **** **    **     * ** *   **      * **    *  *      -x1;
****** ** *** **     ***       *     *** *** **       * **         *   * * *  **  ****   ** * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
***   *    ***** * **    ******   * *  ** * *** * *    **    *
******   ***** ** *  **** * 
    
 * ** **  ******      *** ** * * **** **  *** *  ** 
 * * **       * ****  ** ***   0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
***  *  * **  *****     *
 ** **     * * * *** ** *
     **   **  **     * *  
int  * **  
* * *  ***** **   **  * *** ***  a, b, c, D, spD, x1, x2;
****** * * **       ****   
 ********* ***    *****  **     * ** ** *     * %lf    *    * * * * * *   &b * * ****  
 * **    {
*      *** * **  *** ***** *** **     *** * *  *    ** * - (4*a*c);
 *  * *   * *     *** ****** ***  *** ** *  **** * *
 **  *        ***  ***** 
 *  * *       {
  *** * **  *    ** ** ** **   **** ***   ** * ** *   **  * *       **   **
 ** ** *  ** *  *  * *  *****    * *   **  * ** *     ** * *   x1= *   ***** ****
 ***  *  *** * *  * *   ** *  **** **    * *   *  *   *    *    x2=   * * *  *
 *   *     ****  * *    *** ** **** *      * ****** **  ****    if (x1==x2){
*****  * **    **  ***   * *   * **    *       * * *       *          * ** *** *    of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =   ** ***** ** ** *
  ** **** *      * **    * ****** ***** *  * *  * **   ******  ** *  * *** ** ***
*   *    * *  *    *  * ** ** *****  * ******   * * **** ***   else {
** **** **       **   *** *      * ** *** **  ** * ** ****** *   *   *   *   **    *****  *    of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and *** * **** = %.2lf\nx2 = *  * * *  ***     * * *
* *   **  * *** ***   * * *        ** ****   ** *   * *  *  ** ** *  * }
 ** **   ***  ****     ** **** *  **** *    ***  **
** *  *   **  ** *  * *** *  **  *  *  **** **** *    if(D==0)
    ***        *  * *   {
*  ** *    **   ** *  **  *   *   * * ***     *  * * **   *  *** **    * **   *  ******   * *****
 **  *    *      * * *  ****  *    * *  *******  ***      *   *   **  * ** *  ** *  **
 **   *    *    *       {
* * * * *  * *  *****   *   *** * ****   * ** * *  ****   *  ****  **  *   **** *** *  **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  * *   * * *  *** 
**    * ** * ********  *  * ** * **   * **  *  ** *   * *  * ***** **   *     * **
** * * **    ***    *** **    *  ***** *   *    * ** * * *** ***** ** **  *    *  ****  *    *
** * *****   *   **  **** *   * *** ***     * **  *** * *  * **     ***   *******
***  *           {
   *    **  * *** **** ****** *****   * * ** ** * **   **   *  * * *** * * *** * ***     *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =    *** * * *** * *
  *  *** ** *** *    ***   *    *      * *  * *****   *  *   * * *** *     ** * *  
*  **  *  * *  ***    ** **  ****** ***   **  *  **  **
 **  *** * ** **** *     ***** **  * * **  *  *   ** *******   ** 
**   *         ****     
            x1=       *
      **     **   ***   **  *  *   **      x2= -x1;
* *  ** * *  ****   ******  *** *  * ****    *   * *  *   *   *    ** ***** *   * ** *  *   *  * ***  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and  *  **   =  * * **      =  ** *   **** **    *  * * ** 
 ** *     **  *** ****   *****    ** *  *****  
   * *****    **     *   **** *
* *  ******  **  ** ****   
***  * **  * * *   *****   ** * * ***  **    
*  **  * *  *  ** **    * *    *   0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
**   *** ** * *** ***
**   * ***  ****  *** 
int main(){
*    * * ** ******  *      *** *    *  a,b,c;
  * ***    ********   ** * * * * D;
*   ** **  **  * ** *   **  ****  *  %lf    * *   **      * ** *** * *  ** *
 ***  ***  *** *  *** * * *  **  *  ** - 4*a*c ;

* ***    * * **     * *  **   ******   * *  of %.2fx^2 + %.2fx + %.2f = 0 *  * *  *     

* * * *         ****  ** * *  * * 
**  * * **    * * ****   * *** * * **   *  ** **  ***  **  ***** * complex and   ***     *  * **
    ** * ***  *  *  *****  *  *   *  ***** **     *  * ** ** ** *** = * *   **  * * *  *  (-b) / (2*a) ), sqrt(-D) / (2*a) );
 **** *  ** * ****  * *   * ***    ***  ****   *       * *  ***   * =  * ****     *  * (-b) / (2*a) ), sqrt(-D) / (2*a) );
 **   *   ***  *      **    *
* **** ** * **  *  **  **** *    if(D==0){
**** *  **  *  * *** ** ** * **     ** ***  *******   *** ****   ****  real and same\n");
       *** * *** * *  **  * * ****    *  *     *  *****  * * *  *   = x2 = %.2f",( (-b) / (2*a) ) );
  *  * *****  ** *  ** **** ** *
* ***   ** *****  *    ** ******* 
* *** *   *        ** ***   * * * ***** ****  **   *    ** **  real and *    * ***** 
* ** **  ***  *** ***** ** *   *   * **  * ** ** ** *      * * = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
  *  * *** **       ***** *  ** * * ** *  *  *** ***  * *** ***  * * *  = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
*   *   * *      * * * 

  **** ******   *** *** * **    0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include  **   * ** * ***
#include <math.h>
int main()
{
 *** *  *** *  * ** * * **      a,b,c,x,y,d;
 ** *   * ** ******  ****  **** * *    * %f ***  * * **     *   *   * 
*   * * *  ** *  ***    **       **
*   *  **  *   *     *  **  *    ******
* * ** * *** ** *      * ** *** *   **  ***
**     **  **** *  *   ***   *   (d>0){
        **  ** *   *    *** ** *  * of %.2fx^2 + %.2fx + %.2f = 0 are real and  ***    **   *  * **  *
*  *   ** **** *  *    *****   *  ***   = %.2f\nx2 = %.2f",x,y);
*****  * *** **** *** **  
 ****  **   ** ***   *********    if (d==0){
*  *  *** *** *  *  *    *  ** ** *     of %.2fx^2 + %.2fx + %.2f = 0 are real and   ** * * **  **  **
  ** *       * ****  **** ****** *      = x2 = %.2f",x);
***      * * **   *** *
 ***   *  * **    **    **    *
* *    ***    *  **  * *        ** * *  
*            ** * * ** * * *  ***   * **  of %.2fx^2 + %.2fx + %.2f = 0 are complex and    **  ** *  ** *
******  *******  ** *      ** ** * 
   ******  ** **** *  * *   ** ****** *  =   ** ***** **  * * 
* **** *  ** ** *** *  *    * ** * = *  *** * * *** * *
  ******  *    *** ******** *

 * **  ********* *** * * **  **  **  0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output